DEVELOPMENT OF GAS KINETIC FLUX SOLVERS AND THEIR APPLICATIONS

Abstract

In this thesis, a series of novel gas kinetic flux solvers (GKFSs) have been developed and applied to solve a variety of flow problems. Firstly, two types of GKFSs have been successfully proposed for both inviscid and viscous flow simulations. The developed solvers have been validated in a variety of 1D to 3D flow simulations. Numerical results demonstrate that the present GKFSs not only keep the intrinsic advantages of the gas kinetic scheme but also remove the drawbacks, such as the complexity and inefficiency. Subsequently, the extensions of the GKFSs to study complex and moving boundary problems have also been built. A GKFS-based solver combined with the immersed boundary method (IBM) has been proposed for incompressible flows. Moreover, a diffuse-interface IBM is further developed for the simulation of compressible moving boundary flows. This is the first time that the diffuse-interface IBM is successfully applied to simulate compressible moving boundary flows.